46583677152 has 192 divisors, whose sum is σ = 137371852800. Its totient is φ = 15357081600.

The previous prime is 46583677093. The next prime is 46583677181. The reversal of 46583677152 is 25177638564.

46583677152 is a `hidden beast` number, since 4 + 6 + 583 + 6 + 7 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×46583677152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40471777 + ... + 40472927.

It is an arithmetic number, because the mean of its divisors is an integer number (715478400).

Almost surely, 2^46583677152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46583677152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68685926400).

46583677152 is an abundant number, since it is smaller than the sum of its proper divisors (90788175648).

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

46583677152 is a wasteful number, since it uses less digits than its factorization.

46583677152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 46583677152 in words is "forty-six billion, five hundred eighty-three million, six hundred seventy-seven thousand, one hundred fifty-two".