46077834880 has 128 divisors (see below), whose sum is σ = 137336031360. Its totient is φ = 14361907200.

The previous prime is 46077834863. The next prime is 46077834899. The reversal of 46077834880 is 8843877064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×46077834880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418231 + ... + 516790.

It is an arithmetic number, because the mean of its divisors is an integer number (1072937745).

Almost surely, 2^46077834880 is an apocalyptic number.

46077834880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46077834880 is an abundant number, since it is smaller than the sum of its proper divisors (91258196480).

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

46077834880 is a wasteful number, since it uses less digits than its factorization.

46077834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935058 (or 935046 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 46077834880 in words is "forty-six billion, seventy-seven million, eight hundred thirty-four thousand, eight hundred eighty".