45361555200 has 1080 divisors, whose sum is σ = 185481128448. Its totient is φ = 10868981760.

The previous prime is 45361555199. The next prime is 45361555241. The reversal of 45361555200 is 255516354.

45361555200 is a `hidden beast` number, since 45 + 3 + 61 + 5 + 552 + 0 + 0 = 666.

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 (36).

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, 357177537 + ... + 357177663.

Almost surely, 2^45361555200 is an apocalyptic number.

45361555200 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 45361555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92740564224).

45361555200 is an abundant number, since it is smaller than the sum of its proper divisors (140119573248).

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

45361555200 is a wasteful number, since it uses less digits than its factorization.

45361555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 45361555200 in words is "forty-five billion, three hundred sixty-one million, five hundred fifty-five thousand, two hundred".