1146724757856 has 480 divisors, whose sum is σ = 3612789734400. Its totient is φ = 355765063680.

The previous prime is 1146724757839. The next prime is 1146724757869. The reversal of 1146724757856 is 6587574276411.

1146724757856 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 7 + 2 + 4 + 7 + 578 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1146724757793 and 1146724757802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 937632061 + ... + 937633283.

It is an arithmetic number, because the mean of its divisors is an integer number (7526645280).

Almost surely, 2^{1146724757856} is an apocalyptic number.

1146724757856 is a gapful number since it is divisible by the number (16) 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 1146724757856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806394867200).

1146724757856 is an abundant number, since it is smaller than the sum of its proper divisors (2466064976544).

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

1146724757856 is a wasteful number, since it uses less digits than its factorization.

1146724757856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 1146724757856 in words is "one trillion, one hundred forty-six billion, seven hundred twenty-four million, seven hundred fifty-seven thousand, eight hundred fifty-six".