45199152721408 has 320 divisors, whose sum is σ = 109746408816000. Its totient is φ = 18566292111360.

The previous prime is 45199152721319. The next prime is 45199152721469. The reversal of 45199152721408 is 80412725199154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697689978 + ... + 697754758.

It is an arithmetic number, because the mean of its divisors is an integer number (342957527550).

Almost surely, 2^{45199152721408} 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 45199152721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54873204408000).

45199152721408 is an abundant number, since it is smaller than the sum of its proper divisors (64547256094592).

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

45199152721408 is an equidigital number, since it uses as much as digits as its factorization.

45199152721408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64986 (or 64956 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 45199152721408 in words is "forty-five trillion, one hundred ninety-nine billion, one hundred fifty-two million, seven hundred twenty-one thousand, four hundred eight".