46214763840 has 560 divisors, whose sum is σ = 198943886592. Its totient is φ = 9941336064.

The previous prime is 46214763817. The next prime is 46214763841. The reversal of 46214763840 is 4836741264.

46214763840 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 4 + 7 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46214763841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3076989 + ... + 3091971.

Almost surely, 2^46214763840 is an apocalyptic number.

46214763840 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 46214763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99471943296).

46214763840 is an abundant number, since it is smaller than the sum of its proper divisors (152729122752).

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

46214763840 is a wasteful number, since it uses less digits than its factorization.

46214763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46214763840 in words is "forty-six billion, two hundred fourteen million, seven hundred sixty-three thousand, eight hundred forty".