45719089416 has 1024 divisors, whose sum is σ = 185794560000. Its totient is φ = 10021708800.

The previous prime is 45719089399. The next prime is 45719089433. The reversal of 45719089416 is 61498091754.

45719089416 is a `hidden beast` number, since 457 + 1 + 90 + 8 + 94 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (45719089399) and next prime (45719089433).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 127351045 + ... + 127351403.

It is an arithmetic number, because the mean of its divisors is an integer number (181440000).

Almost surely, 2^45719089416 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 45719089416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280000).

45719089416 is an abundant number, since it is smaller than the sum of its proper divisors (140075470584).

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

45719089416 is a wasteful number, since it uses less digits than its factorization.

45719089416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 45719089416 in words is "forty-five billion, seven hundred nineteen million, eighty-nine thousand, four hundred sixteen".