46688414850 has 768 divisors, whose sum is σ = 168274944000. Its totient is φ = 9237888000.

The previous prime is 46688414777. The next prime is 46688414897. The reversal of 46688414850 is 5841488664.

It is a happy number.

46688414850 is a `hidden beast` number, since 46 + 6 + 88 + 41 + 485 + 0 = 666.

46688414850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234615051 + ... + 234615249.

It is an arithmetic number, because the mean of its divisors is an integer number (219108000).

Almost surely, 2^46688414850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46688414850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84137472000).

46688414850 is an abundant number, since it is smaller than the sum of its proper divisors (121586529150).

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

46688414850 is a wasteful number, since it uses less digits than its factorization.

46688414850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 46688414850 in words is "forty-six billion, six hundred eighty-eight million, four hundred fourteen thousand, eight hundred fifty".