45738950400 has 1080 divisors, whose sum is σ = 199005794064. Its totient is φ = 10218700800.

The previous prime is 45738950393. The next prime is 45738950429. The reversal of 45738950400 is 405983754.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 74130892 + ... + 74131508.

Almost surely, 2^45738950400 is an apocalyptic number.

45738950400 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 45738950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99502897032).

45738950400 is an abundant number, since it is smaller than the sum of its proper divisors (153266843664).

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

45738950400 is a wasteful number, since it uses less digits than its factorization.

45738950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45738950400 in words is "forty-five billion, seven hundred thirty-eight million, nine hundred fifty thousand, four hundred".