45602723174400 has 1440 divisors, whose sum is σ = 193690755498240. Its totient is φ = 10387906560000.

The previous prime is 45602723174381. The next prime is 45602723174423. The reversal of 45602723174400 is 447132720654.

45602723174400 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 2 + 7 + 231 + 7 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×45602723174400³ (a number of 42 digits) contains 333 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9028451875 + ... + 9028456925.

It is an arithmetic number, because the mean of its divisors is an integer number (134507469096).

Almost surely, 2^{45602723174400} is an apocalyptic number.

45602723174400 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 45602723174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96845377749120).

45602723174400 is an abundant number, since it is smaller than the sum of its proper divisors (148088032323840).

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

45602723174400 is a wasteful number, since it uses less digits than its factorization.

45602723174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45602723174400 in words is "forty-five trillion, six hundred two billion, seven hundred twenty-three million, one hundred seventy-four thousand, four hundred".