45539901388800 has 6912 divisors, whose sum is σ = 229783042944000. Its totient is φ = 8668430991360.

The previous prime is 45539901388783. The next prime is 45539901388831. The reversal of 45539901388800 is 888310993554.

45539901388800 is a `hidden beast` number, since 4 + 5 + 539 + 9 + 0 + 13 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-3 number, since 3×45539901388800³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 623834265564 + ... + 623834265636.

It is an arithmetic number, because the mean of its divisors is an integer number (33244074500).

Almost surely, 2^{45539901388800} is an apocalyptic number.

45539901388800 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 45539901388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114891521472000).

45539901388800 is an abundant number, since it is smaller than the sum of its proper divisors (184243141555200).

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

45539901388800 is a wasteful number, since it uses less digits than its factorization.

45539901388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 45539901388800 in words is "forty-five trillion, five hundred thirty-nine billion, nine hundred one million, three hundred eighty-eight thousand, eight hundred".