46205813952 has 336 divisors, whose sum is σ = 145764650304. Its totient is φ = 13934592000.

The previous prime is 46205813933. The next prime is 46205813977. The reversal of 46205813952 is 25931850264.

46205813952 is a `hidden beast` number, since 4 + 62 + 0 + 581 + 3 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46205813898 and 46205813907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28503702 + ... + 28505322.

It is an arithmetic number, because the mean of its divisors is an integer number (433823364).

Almost surely, 2^46205813952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46205813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72882325152).

46205813952 is an abundant number, since it is smaller than the sum of its proper divisors (99558836352).

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

46205813952 is a wasteful number, since it uses less digits than its factorization.

46205813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 46205813952 in words is "forty-six billion, two hundred five million, eight hundred thirteen thousand, nine hundred fifty-two".