45734798116800 has 1512 divisors, whose sum is σ = 179951845701888. Its totient is φ = 11008438272000.

The previous prime is 45734798116769. The next prime is 45734798116829. The reversal of 45734798116800 is 861189743754.

45734798116800 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 479 + 81 + 1 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28353872794 + ... + 28353874406.

Almost surely, 2^{45734798116800} is an apocalyptic number.

45734798116800 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 45734798116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89975922850944).

45734798116800 is an abundant number, since it is smaller than the sum of its proper divisors (134217047585088).

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

45734798116800 is a wasteful number, since it uses less digits than its factorization.

45734798116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 45734798116800 in words is "forty-five trillion, seven hundred thirty-four billion, seven hundred ninety-eight million, one hundred sixteen thousand, eight hundred".