45948038400 has 864 divisors, whose sum is σ = 191977712640. Its totient is φ = 10644480000.

The previous prime is 45948038399. The next prime is 45948038429. The reversal of 45948038400 is 483084954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×45948038400² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43717875 + ... + 43718925.

Almost surely, 2^45948038400 is an apocalyptic number.

45948038400 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 45948038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95988856320).

45948038400 is an abundant number, since it is smaller than the sum of its proper divisors (146029674240).

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

45948038400 is a wasteful number, since it uses less digits than its factorization.

45948038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45948038400 in words is "forty-five billion, nine hundred forty-eight million, thirty-eight thousand, four hundred".