46745254764 has 192 divisors, whose sum is σ = 137862574080. Its totient is φ = 13594936320.

The previous prime is 46745254757. The next prime is 46745254769.

46745254764 is a `hidden beast` number, since 4 + 6 + 74 + 525 + 47 + 6 + 4 = 666.

46745254764 is nontrivially palindromic in base 10.

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 46745254764.

It is not an unprimeable number, because it can be changed into a prime (46745254769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859044 + ... + 1884020.

It is an arithmetic number, because the mean of its divisors is an integer number (718034240).

Almost surely, 2^46745254764 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 46745254764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68931287040).

46745254764 is an abundant number, since it is smaller than the sum of its proper divisors (91117319316).

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

46745254764 is a wasteful number, since it uses less digits than its factorization.

46745254764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25077 (or 25069 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 46745254764 in words is "forty-six billion, seven hundred forty-five million, two hundred fifty-four thousand, seven hundred sixty-four".