46199877120 has 640 divisors, whose sum is σ = 174731673600. Its totient is φ = 11537842176.

The previous prime is 46199877089. The next prime is 46199877133. The reversal of 46199877120 is 2177899164.

46199877120 is a `hidden beast` number, since 4 + 619 + 9 + 8 + 7 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 166786422 + ... + 166786698.

It is an arithmetic number, because the mean of its divisors is an integer number (273018240).

Almost surely, 2^46199877120 is an apocalyptic number.

46199877120 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 46199877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87365836800).

46199877120 is an abundant number, since it is smaller than the sum of its proper divisors (128531796480).

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

46199877120 is a wasteful number, since it uses less digits than its factorization.

46199877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 46199877120 in words is "forty-six billion, one hundred ninety-nine million, eight hundred seventy-seven thousand, one hundred twenty".