46886811552 has 768 divisors, whose sum is σ = 171674173440. Its totient is φ = 12157516800.

The previous prime is 46886811541. The next prime is 46886811553. The reversal of 46886811552 is 25511868864.

46886811552 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 6 + 81 + 1 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (46886811553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 357914527 + ... + 357914657.

It is an arithmetic number, because the mean of its divisors is an integer number (223534080).

Almost surely, 2^46886811552 is an apocalyptic number.

46886811552 is a gapful number since it is divisible by the number (42) 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 46886811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85837086720).

46886811552 is an abundant number, since it is smaller than the sum of its proper divisors (124787361888).

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

46886811552 is a wasteful number, since it uses less digits than its factorization.

46886811552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 46886811552 in words is "forty-six billion, eight hundred eighty-six million, eight hundred eleven thousand, five hundred fifty-two".