45637915847040 has 2304 divisors, whose sum is σ = 191222411627520. Its totient is φ = 10357383168000.

The previous prime is 45637915847039. The next prime is 45637915847077. The reversal of 45637915847040 is 4074851973654.

45637915847040 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 7 + 9 + 1 + 584 + 7 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105888435625 + ... + 105888436055.

It is an arithmetic number, because the mean of its divisors is an integer number (82995838380).

Almost surely, 2^{45637915847040} is an apocalyptic number.

45637915847040 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 45637915847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95611205813760).

45637915847040 is an abundant number, since it is smaller than the sum of its proper divisors (145584495780480).

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

45637915847040 is a wasteful number, since it uses less digits than its factorization.

45637915847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 45637915847040 in words is "forty-five trillion, six hundred thirty-seven billion, nine hundred fifteen million, eight hundred forty-seven thousand, forty".