45790542000 has 320 divisors, whose sum is σ = 187466572800. Its totient is φ = 10466323200.

The previous prime is 45790541969. The next prime is 45790542011. The reversal of 45790542000 is 24509754.

45790542000 is a `hidden beast` number, since 45 + 79 + 0 + 542 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 317431 + ... + 438569.

It is an arithmetic number, because the mean of its divisors is an integer number (585833040).

Almost surely, 2^45790542000 is an apocalyptic number.

45790542000 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 45790542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93733286400).

45790542000 is an abundant number, since it is smaller than the sum of its proper divisors (141676030800).

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

45790542000 is a wasteful number, since it uses less digits than its factorization.

45790542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121178 (or 121156 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45790542000 in words is "forty-five billion, seven hundred ninety million, five hundred forty-two thousand".