46052228436480 has 1120 divisors, whose sum is σ = 195726206649600. Its totient is φ = 10163166806016.

The previous prime is 46052228436479. The next prime is 46052228436491. The reversal of 46052228436480 is 8463482225064.

46052228436480 is a `hidden beast` number, since 4 + 6 + 0 + 52 + 2 + 2 + 84 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 111 ways as a sum of consecutive naturals, for example, 378785941 + ... + 378907499.

Almost surely, 2^{46052228436480} is an apocalyptic number.

46052228436480 is a gapful number since it is divisible by the number (40) 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 46052228436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97863103324800).

46052228436480 is an abundant number, since it is smaller than the sum of its proper divisors (149673978213120).

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

46052228436480 is an equidigital number, since it uses as much as digits as its factorization.

46052228436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121636 (or 121605 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 46052228436480 in words is "forty-six trillion, fifty-two billion, two hundred twenty-eight million, four hundred thirty-six thousand, four hundred eighty".