45894967040 has 144 divisors (see below), whose sum is σ = 121278499776. Its totient is φ = 16532275200.

The previous prime is 45894967007. The next prime is 45894967061. The reversal of 45894967040 is 4076949854.

45894967040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648605 + ... + 715875.

It is an arithmetic number, because the mean of its divisors is an integer number (842211804).

Almost surely, 2^45894967040 is an apocalyptic number.

45894967040 is a gapful number since it is divisible by the number (40) 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 45894967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60639249888).

45894967040 is an abundant number, since it is smaller than the sum of its proper divisors (75383532736).

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

45894967040 is a wasteful number, since it uses less digits than its factorization.

45894967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67346 (or 67332 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 45894967040 in words is "forty-five billion, eight hundred ninety-four million, nine hundred sixty-seven thousand, forty".