3956056574148 has 288 divisors, whose sum is σ = 12357255456000. Its totient is φ = 1063002092544.

The previous prime is 3956056574143. The next prime is 3956056574161. The reversal of 3956056574148 is 8414756506593.

It is a happy number.

3956056574148 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 0 + 56 + 574 + 1 + 4 + 8 = 666.

It is a super-2 number, since 2×3956056574148² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3956056574143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306260986 + ... + 306273902.

It is an arithmetic number, because the mean of its divisors is an integer number (42907137000).

Almost surely, 2^{3956056574148} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956056574148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178627728000).

3956056574148 is an abundant number, since it is smaller than the sum of its proper divisors (8401198881852).

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

3956056574148 is a wasteful number, since it uses less digits than its factorization.

3956056574148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3956056574148 in words is "three trillion, nine hundred fifty-six billion, fifty-six million, five hundred seventy-four thousand, one hundred forty-eight".