45877248000 has 720 divisors, whose sum is σ = 175431896640. Its totient is φ = 11501568000.

The previous prime is 45877247993. The next prime is 45877248017. The reversal of 45877248000 is 84277854.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 350207935 + ... + 350208065.

It is an arithmetic number, because the mean of its divisors is an integer number (243655412).

Almost surely, 2^45877248000 is an apocalyptic number.

45877248000 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 45877248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87715948320).

45877248000 is an abundant number, since it is smaller than the sum of its proper divisors (129554648640).

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

45877248000 is a wasteful number, since it uses less digits than its factorization.

45877248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 45877248000 in words is "forty-five billion, eight hundred seventy-seven million, two hundred forty-eight thousand".