45336859142400 has 2592 divisors, whose sum is σ = 212270121842688. Its totient is φ = 9328214016000.

The previous prime is 45336859142381. The next prime is 45336859142437. The reversal of 45336859142400 is 424195863354.

It is a happy number.

45336859142400 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 6 + 8 + 591 + 4 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4256577075 + ... + 4256587725.

Almost surely, 2^{45336859142400} is an apocalyptic number.

45336859142400 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 45336859142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106135060921344).

45336859142400 is an abundant number, since it is smaller than the sum of its proper divisors (166933262700288).

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

45336859142400 is a wasteful number, since it uses less digits than its factorization.

45336859142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45336859142400 in words is "forty-five trillion, three hundred thirty-six billion, eight hundred fifty-nine million, one hundred forty-two thousand, four hundred".