46447040502720 has 2240 divisors, whose sum is σ = 201768684429312. Its totient is φ = 9988116480000.

The previous prime is 46447040502719. The next prime is 46447040502781. The reversal of 46447040502720 is 2720504074464.

46447040502720 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 70 + 4 + 0 + 502 + 72 + 0 = 666.

46447040502720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46447040502720² (a number of 28 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17350406022 + ... + 17350408698.

Almost surely, 2^{46447040502720} is an apocalyptic number.

46447040502720 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 46447040502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100884342214656).

46447040502720 is an abundant number, since it is smaller than the sum of its proper divisors (155321643926592).

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

46447040502720 is a wasteful number, since it uses less digits than its factorization.

46447040502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 46447040502720 in words is "forty-six trillion, four hundred forty-seven billion, forty million, five hundred two thousand, seven hundred twenty".