45358992000 has 768 divisors, whose sum is σ = 197191687680. Its totient is φ = 9754214400.

The previous prime is 45358991987. The next prime is 45358992059. The reversal of 45358992000 is 29985354.

45358992000 is a `hidden beast` number, since 4 + 5 + 358 + 99 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17134677 + ... + 17137323.

It is an arithmetic number, because the mean of its divisors is an integer number (256760010).

Almost surely, 2^45358992000 is an apocalyptic number.

45358992000 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 45358992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98595843840).

45358992000 is an abundant number, since it is smaller than the sum of its proper divisors (151832695680).

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

45358992000 is a wasteful number, since it uses less digits than its factorization.

45358992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45358992000 in words is "forty-five billion, three hundred fifty-eight million, nine hundred ninety-two thousand".