45101038416000 has 2048 divisors, whose sum is σ = 182817423360000. Its totient is φ = 9607403520000.

The previous prime is 45101038415987. The next prime is 45101038416023. The reversal of 45101038416000 is 61483010154.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 166424495865 + ... + 166424496135.

It is an arithmetic number, because the mean of its divisors is an integer number (89266320000).

Almost surely, 2^{45101038416000} is an apocalyptic number.

45101038416000 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 45101038416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91408711680000).

45101038416000 is an abundant number, since it is smaller than the sum of its proper divisors (137716384944000).

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

45101038416000 is a wasteful number, since it uses less digits than its factorization.

45101038416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 45101038416000 in words is "forty-five trillion, one hundred one billion, thirty-eight million, four hundred sixteen thousand".