449970677121504 has 576 divisors, whose sum is σ = 1531082202048000. Its totient is φ = 115562201610240.

The previous prime is 449970677121389. The next prime is 449970677121557. The reversal of 449970677121504 is 405121776079944.

It is a super-2 number, since 2×449970677121504² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353967159 + ... + 355236105.

It is an arithmetic number, because the mean of its divisors is an integer number (2658128823000).

Almost surely, 2^{449970677121504} is an apocalyptic number.

449970677121504 is a gapful number since it is divisible by the number (44) 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 449970677121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765541101024000).

449970677121504 is an abundant number, since it is smaller than the sum of its proper divisors (1081111524926496).

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

449970677121504 is a wasteful number, since it uses less digits than its factorization.

449970677121504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269092 (or 1269059 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 449970677121504 in words is "four hundred forty-nine trillion, nine hundred seventy billion, six hundred seventy-seven million, one hundred twenty-one thousand, five hundred four".