46456542720 has 240 divisors, whose sum is σ = 183877293600. Its totient is φ = 10618601472.

The previous prime is 46456542661. The next prime is 46456542739. The reversal of 46456542720 is 2724565464.

46456542720 is a `hidden beast` number, since 4 + 64 + 565 + 4 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×46456542720² (a number of 22 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17256 + ... + 305304.

It is an arithmetic number, because the mean of its divisors is an integer number (766155390).

Almost surely, 2^46456542720 is an apocalyptic number.

46456542720 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 46456542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91938646800).

46456542720 is an abundant number, since it is smaller than the sum of its proper divisors (137420750880).

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

46456542720 is a wasteful number, since it uses less digits than its factorization.

46456542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288085 (or 288066 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 46456542720 in words is "forty-six billion, four hundred fifty-six million, five hundred forty-two thousand, seven hundred twenty".