45753854400 has 840 divisors, whose sum is σ = 187616317680. Its totient is φ = 10868981760.

The previous prime is 45753854353. The next prime is 45753854423. The reversal of 45753854400 is 445835754.

45753854400 is a `hidden beast` number, since 4 + 5 + 75 + 38 + 544 + 0 + 0 = 666.

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, 41860254 + ... + 41861346.

Almost surely, 2^45753854400 is an apocalyptic number.

45753854400 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 45753854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93808158840).

45753854400 is an abundant number, since it is smaller than the sum of its proper divisors (141862463280).

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

45753854400 is a wasteful number, since it uses less digits than its factorization.

45753854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 45753854400 in words is "forty-five billion, seven hundred fifty-three million, eight hundred fifty-four thousand, four hundred".