45735014707200 has 4680 divisors, whose sum is σ = 215906791795200. Its totient is φ = 9365956853760.

The previous prime is 45735014707181. The next prime is 45735014707211. The reversal of 45735014707200 is 270741053754.

45735014707200 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 501 + 4 + 70 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 578924236761 + ... + 578924236839.

Almost surely, 2^{45735014707200} is an apocalyptic number.

45735014707200 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 45735014707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107953395897600).

45735014707200 is an abundant number, since it is smaller than the sum of its proper divisors (170171777088000).

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

45735014707200 is a wasteful number, since it uses less digits than its factorization.

45735014707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 45735014707200 in words is "forty-five trillion, seven hundred thirty-five billion, fourteen million, seven hundred seven thousand, two hundred".