445379033088 has 384 divisors, whose sum is σ = 1459670284800. Its totient is φ = 133049548800.

The previous prime is 445379033051. The next prime is 445379033129. The reversal of 445379033088 is 880330973544.

445379033088 is a `hidden beast` number, since 445 + 3 + 7 + 90 + 3 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×445379033088² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43181020 + ... + 43191332.

It is an arithmetic number, because the mean of its divisors is an integer number (3801224700).

Almost surely, 2^445379033088 is an apocalyptic number.

445379033088 is a gapful number since it is divisible by the number (48) 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 445379033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729835142400).

445379033088 is an abundant number, since it is smaller than the sum of its proper divisors (1014291251712).

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

445379033088 is a wasteful number, since it uses less digits than its factorization.

445379033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10426 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 445379033088 in words is "four hundred forty-five billion, three hundred seventy-nine million, thirty-three thousand, eighty-eight".