46916997120 has 1664 divisors, whose sum is σ = 217406177280. Its totient is φ = 9342812160.

The previous prime is 46916997079. The next prime is 46916997131. The reversal of 46916997120 is 2179961964.

It is a happy number.

46916997120 is a `hidden beast` number, since 469 + 1 + 6 + 99 + 71 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1513451505 + ... + 1513451535.

Almost surely, 2^46916997120 is an apocalyptic number.

46916997120 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 46916997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108703088640).

46916997120 is an abundant number, since it is smaller than the sum of its proper divisors (170489180160).

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

46916997120 is a wasteful number, since it uses less digits than its factorization.

46916997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 46916997120 in words is "forty-six billion, nine hundred sixteen million, nine hundred ninety-seven thousand, one hundred twenty".