1061148658752 has 448 divisors, whose sum is σ = 4041573222400. Its totient is φ = 265132984320.

The previous prime is 1061148658721. The next prime is 1061148658783. The reversal of 1061148658752 is 2578568411601.

1061148658752 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 4 + 8 + 6 + 587 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1061148658721) and next prime (1061148658783).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1061148658752³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2810127 + ... + 3165297.

It is an arithmetic number, because the mean of its divisors is an integer number (9021368800).

Almost surely, 2^{1061148658752} is an apocalyptic number.

1061148658752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061148658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020786611200).

1061148658752 is an abundant number, since it is smaller than the sum of its proper divisors (2980424563648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061148658752 is a wasteful number, since it uses less digits than its factorization.

1061148658752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355231 (or 355215 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1061148658752 in words is "one trillion, sixty-one billion, one hundred forty-eight million, six hundred fifty-eight thousand, seven hundred fifty-two".