45703479492000 has 1152 divisors, whose sum is σ = 189145586972160. Its totient is φ = 10339338240000.

The previous prime is 45703479491939. The next prime is 45703479492037. The reversal of 45703479492000 is 29497430754.

45703479492000 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 347 + 94 + 9 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 373366806 + ... + 373489194.

It is an arithmetic number, because the mean of its divisors is an integer number (164188877580).

Almost surely, 2^{45703479492000} is an apocalyptic number.

45703479492000 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 45703479492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94572793486080).

45703479492000 is an abundant number, since it is smaller than the sum of its proper divisors (143442107480160).

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

45703479492000 is a wasteful number, since it uses less digits than its factorization.

45703479492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122495 (or 122474 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 45703479492000 in words is "forty-five trillion, seven hundred three billion, four hundred seventy-nine million, four hundred ninety-two thousand".