1011658416480 has 288 divisors, whose sum is σ = 3581649646848. Its totient is φ = 269662348800.

The previous prime is 1011658416469. The next prime is 1011658416493. The reversal of 1011658416480 is 846148561101.

1011658416480 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 584 + 1 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1011658416480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136503975 + ... + 136511385.

It is an arithmetic number, because the mean of its divisors is an integer number (12436283496).

Almost surely, 2^{1011658416480} is an apocalyptic number.

1011658416480 is a gapful number since it is divisible by the number (10) 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 1011658416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790824823424).

1011658416480 is an abundant number, since it is smaller than the sum of its proper divisors (2569991230368).

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

1011658416480 is an equidigital number, since it uses as much as digits as its factorization.

1011658416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1011658416480 in words is "one trillion, eleven billion, six hundred fifty-eight million, four hundred sixteen thousand, four hundred eighty".