46338405750 has 576 divisors, whose sum is σ = 162072705600. Its totient is φ = 9765100800.

The previous prime is 46338405703. The next prime is 46338405767. The reversal of 46338405750 is 5750483364.

46338405750 is a `hidden beast` number, since 4 + 6 + 3 + 38 + 40 + 575 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46338405696 and 46338405705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55896336 + ... + 55897164.

It is an arithmetic number, because the mean of its divisors is an integer number (281376225).

Almost surely, 2^46338405750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46338405750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81036352800).

46338405750 is an abundant number, since it is smaller than the sum of its proper divisors (115734299850).

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

46338405750 is a wasteful number, since it uses less digits than its factorization.

46338405750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 46338405750 in words is "forty-six billion, three hundred thirty-eight million, four hundred five thousand, seven hundred fifty".