45762411904 has 64 divisors (see below), whose sum is σ = 100238745600. Its totient is φ = 20637227520.

The previous prime is 45762411889. The next prime is 45762411907. The reversal of 45762411904 is 40911426754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45762411907) 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 7 ways as a sum of consecutive naturals, for example, 50857 + ... + 306775.

It is an arithmetic number, because the mean of its divisors is an integer number (1566230400).

Almost surely, 2^45762411904 is an apocalyptic number.

45762411904 is a gapful number since it is divisible by the number (44) 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 45762411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50119372800).

45762411904 is an abundant number, since it is smaller than the sum of its proper divisors (54476333696).

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

45762411904 is a wasteful number, since it uses less digits than its factorization.

45762411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256071 (or 256059 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 45762411904 in words is "forty-five billion, seven hundred sixty-two million, four hundred eleven thousand, nine hundred four".