46156677120 has 680 divisors, whose sum is σ = 173567363904. Its totient is φ = 11720982528.

The previous prime is 46156677113. The next prime is 46156677163. The reversal of 46156677120 is 2177665164.

46156677120 is a `hidden beast` number, since 4 + 6 + 1 + 566 + 77 + 12 + 0 = 666.

It is a super-3 number, since 3×46156677120³ (a number of 33 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982056937 + ... + 982056983.

Almost surely, 2^46156677120 is an apocalyptic number.

46156677120 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 46156677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86783681952).

46156677120 is an abundant number, since it is smaller than the sum of its proper divisors (127410686784).

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

46156677120 is an frugal number, since it uses more digits than its factorization.

46156677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 46156677120 in words is "forty-six billion, one hundred fifty-six million, six hundred seventy-seven thousand, one hundred twenty".