46991093760 has 520 divisors, whose sum is σ = 181492246320. Its totient is φ = 11561730048.

The previous prime is 46991093753. The next prime is 46991093771. The reversal of 46991093760 is 6739019964.

46991093760 is a `hidden beast` number, since 469 + 9 + 109 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (520).

It is a super-2 number, since 2×46991093760² (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 junction number, because it is equal to n+sod(n) for n = 46991093697 and 46991093706.

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, 21564351 + ... + 21566529.

Almost surely, 2^46991093760 is an apocalyptic number.

46991093760 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 46991093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90746123160).

46991093760 is an abundant number, since it is smaller than the sum of its proper divisors (134501152560).

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

46991093760 is a wasteful number, since it uses less digits than its factorization.

46991093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 46991093760 in words is "forty-six billion, nine hundred ninety-one million, ninety-three thousand, seven hundred sixty".