45041548890624 has 640 divisors, whose sum is σ = 143349161066496. Its totient is φ = 12387508224000.

The previous prime is 45041548890571. The next prime is 45041548890673. The reversal of 45041548890624 is 42609884514054.

It is a super-2 number, since 2×45041548890624² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5972884294 + ... + 5972891834.

Almost surely, 2^{45041548890624} is an apocalyptic number.

45041548890624 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 45041548890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71674580533248).

45041548890624 is an abundant number, since it is smaller than the sum of its proper divisors (98307612175872).

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

45041548890624 is a wasteful number, since it uses less digits than its factorization.

45041548890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 45041548890624 in words is "forty-five trillion, forty-one billion, five hundred forty-eight million, eight hundred ninety thousand, six hundred twenty-four".