774135457956 has 120 divisors (see below), whose sum is σ = 2313332904960. Its totient is φ = 221135298048.

The previous prime is 774135457933. The next prime is 774135458003. The reversal of 774135457956 is 659754531477.

774135457956 is a `hidden beast` number, since 7 + 7 + 4 + 1 + 3 + 5 + 4 + 579 + 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 Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 774135457893 and 774135457902.

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 39 ways as a sum of consecutive naturals, for example, 11653885 + ... + 11720123.

It is an arithmetic number, because the mean of its divisors is an integer number (19277774208).

Almost surely, 2^774135457956 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 774135457956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156666452480).

774135457956 is an abundant number, since it is smaller than the sum of its proper divisors (1539197447004).

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

774135457956 is a wasteful number, since it uses less digits than its factorization.

774135457956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71415 (or 71404 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 774135457956 in words is "seven hundred seventy-four billion, one hundred thirty-five million, four hundred fifty-seven thousand, nine hundred fifty-six".