449155653553152 has 1584 divisors, whose sum is σ = 1707807314146752. Its totient is φ = 112476558458880.

The previous prime is 449155653553099. The next prime is 449155653553177. The reversal of 449155653553152 is 251355356551944.

449155653553152 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 5 + 5 + 65 + 3 + 553 + 15 + 2 = 666.

It is a super-2 number, since 2×449155653553152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 449155653553152.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18498223252 + ... + 18498247532.

Almost surely, 2^{449155653553152} is an apocalyptic number.

449155653553152 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 449155653553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853903657073376).

449155653553152 is an abundant number, since it is smaller than the sum of its proper divisors (1258651660593600).

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

449155653553152 is a wasteful number, since it uses less digits than its factorization.

449155653553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24466 counting only the distinct ones).

The product of its digits is 243000000, while the sum is 63.

The spelling of 449155653553152 in words is "four hundred forty-nine trillion, one hundred fifty-five billion, six hundred fifty-three million, five hundred fifty-three thousand, one hundred fifty-two".