46459671552 has 616 divisors, whose sum is σ = 168823066176. Its totient is φ = 12469469184.

The previous prime is 46459671547. The next prime is 46459671607. The reversal of 46459671552 is 25517695464.

46459671552 is a `hidden beast` number, since 46 + 4 + 596 + 7 + 1 + 5 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 88832763 + ... + 88833285.

Almost surely, 2^46459671552 is an apocalyptic number.

46459671552 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 46459671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84411533088).

46459671552 is an abundant number, since it is smaller than the sum of its proper divisors (122363394624).

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

46459671552 is an equidigital number, since it uses as much as digits as its factorization.

46459671552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 552 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 46459671552 in words is "forty-six billion, four hundred fifty-nine million, six hundred seventy-one thousand, five hundred fifty-two".