34774054121664 has 3360 divisors, whose sum is σ = 137152106606592. Its totient is φ = 8591671296000.

The previous prime is 34774054121617. The next prime is 34774054121743. The reversal of 34774054121664 is 46612145047743.

34774054121664 is a `hidden beast` number, since 3 + 4 + 7 + 74 + 0 + 541 + 21 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34774054121664.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 208227868909 + ... + 208227869075.

Almost surely, 2^{34774054121664} is an apocalyptic number.

34774054121664 is a gapful number since it is divisible by the number (34) 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 34774054121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68576053303296).

34774054121664 is an abundant number, since it is smaller than the sum of its proper divisors (102378052484928).

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

34774054121664 is a wasteful number, since it uses less digits than its factorization.

34774054121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 34774054121664 in words is "thirty-four trillion, seven hundred seventy-four billion, fifty-four million, one hundred twenty-one thousand, six hundred sixty-four".