45347812172400 has 480 divisors, whose sum is σ = 151192513059840. Its totient is φ = 11608393789440.

The previous prime is 45347812172371. The next prime is 45347812172401. The reversal of 45347812172400 is 427121874354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45347812172400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45347812172401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2848651641 + ... + 2848667559.

It is an arithmetic number, because the mean of its divisors is an integer number (314984402208).

Almost surely, 2^{45347812172400} is an apocalyptic number.

45347812172400 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 45347812172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75596256529920).

45347812172400 is an abundant number, since it is smaller than the sum of its proper divisors (105844700887440).

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

45347812172400 is a wasteful number, since it uses less digits than its factorization.

45347812172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16833 (or 16822 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 45347812172400 in words is "forty-five trillion, three hundred forty-seven billion, eight hundred twelve million, one hundred seventy-two thousand, four hundred".