46245162076704 has 144 divisors (see below), whose sum is σ = 132144733506240. Its totient is φ = 15340790545920.

The previous prime is 46245162076697. The next prime is 46245162076709. The reversal of 46245162076704 is 40767026154264.

46245162076704 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 5 + 1 + 620 + 7 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (46245162076709) 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 23 ways as a sum of consecutive naturals, for example, 50309994 + ... + 51220950.

It is an arithmetic number, because the mean of its divisors is an integer number (917671760460).

Almost surely, 2^{46245162076704} 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 46245162076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66072366753120).

46245162076704 is an abundant number, since it is smaller than the sum of its proper divisors (85899571429536).

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

46245162076704 is a wasteful number, since it uses less digits than its factorization.

46245162076704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911823 (or 911812 counting only the distinct ones).

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

The spelling of 46245162076704 in words is "forty-six trillion, two hundred forty-five billion, one hundred sixty-two million, seventy-six thousand, seven hundred four".