445475154432 has 320 divisors, whose sum is σ = 1527355957248. Its totient is φ = 111974400000.

The previous prime is 445475154389. The next prime is 445475154479. The reversal of 445475154432 is 234451574544.

It is a super-2 number, since 2×445475154432² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605682 + ... + 3727182.

Almost surely, 2^445475154432 is an apocalyptic number.

445475154432 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 445475154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763677978624).

445475154432 is an abundant number, since it is smaller than the sum of its proper divisors (1081880802816).

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

445475154432 is a wasteful number, since it uses less digits than its factorization.

445475154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121571 (or 121555 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 48.

The spelling of 445475154432 in words is "four hundred forty-five billion, four hundred seventy-five million, one hundred fifty-four thousand, four hundred thirty-two".