45973170343800 has 1152 divisors, whose sum is σ = 187152271488000. Its totient is φ = 10100549975040.

The previous prime is 45973170343799. The next prime is 45973170343823. The reversal of 45973170343800 is 834307137954.

45973170343800 is a `hidden beast` number, since 4 + 5 + 97 + 3 + 170 + 3 + 4 + 380 + 0 = 666.

It is a super-2 number, since 2×45973170343800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1896023277 + ... + 1896047523.

It is an arithmetic number, because the mean of its divisors is an integer number (162458569000).

Almost surely, 2^{45973170343800} is an apocalyptic number.

45973170343800 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 45973170343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93576135744000).

45973170343800 is an abundant number, since it is smaller than the sum of its proper divisors (141179101144200).

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

45973170343800 is a wasteful number, since it uses less digits than its factorization.

45973170343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24410 (or 24384 counting only the distinct ones).

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

The spelling of 45973170343800 in words is "forty-five trillion, nine hundred seventy-three billion, one hundred seventy million, three hundred forty-three thousand, eight hundred".