1061182746624 has 1664 divisors, whose sum is σ = 4125886119936. Its totient is φ = 235516723200.

The previous prime is 1061182746623. The next prime is 1061182746683. The reversal of 1061182746624 is 4266472811601.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×1061182746624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1061182746623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34231701489 + ... + 34231701519.

Almost surely, 2^{1061182746624} is an apocalyptic number.

1061182746624 is a gapful number since it is divisible by the number (14) 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 1061182746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062943059968).

1061182746624 is an abundant number, since it is smaller than the sum of its proper divisors (3064703373312).

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

1061182746624 is a wasteful number, since it uses less digits than its factorization.

1061182746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1061182746624 in words is "one trillion, sixty-one billion, one hundred eighty-two million, seven hundred forty-six thousand, six hundred twenty-four".