45971431800 has 192 divisors, whose sum is σ = 163263360000. Its totient is φ = 10482393600.

The previous prime is 45971431787. The next prime is 45971431811. The reversal of 45971431800 is 813417954.

It is a happy number.

It is a super-2 number, since 2×45971431800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755201 + ... + 1781199.

It is an arithmetic number, because the mean of its divisors is an integer number (850330000).

Almost surely, 2^45971431800 is an apocalyptic number.

45971431800 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 45971431800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81631680000).

45971431800 is an abundant number, since it is smaller than the sum of its proper divisors (117291928200).

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

45971431800 is a wasteful number, since it uses less digits than its factorization.

45971431800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26446 (or 26437 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 45971431800 in words is "forty-five billion, nine hundred seventy-one million, four hundred thirty-one thousand, eight hundred".