46214153424768 has 128 divisors (see below), whose sum is σ = 140357367648000. Its totient is φ = 13197982482432.

The previous prime is 46214153424739. The next prime is 46214153424781. The reversal of 46214153424768 is 86742435141264.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912048 + ... + 9802256.

It is an arithmetic number, because the mean of its divisors is an integer number (1096541934750).

Almost surely, 2^{46214153424768} is an apocalyptic number.

46214153424768 is a gapful number since it is divisible by the number (48) 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 46214153424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70178683824000).

46214153424768 is an abundant number, since it is smaller than the sum of its proper divisors (94143214223232).

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

46214153424768 is a wasteful number, since it uses less digits than its factorization.

46214153424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892412 (or 7892400 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 57.

The spelling of 46214153424768 in words is "forty-six trillion, two hundred fourteen billion, one hundred fifty-three million, four hundred twenty-four thousand, seven hundred sixty-eight".