365949399728448 has 672 divisors, whose sum is σ = 1181017189497600. Its totient is φ = 111897215631360.

The previous prime is 365949399728413. The next prime is 365949399728461. The reversal of 365949399728448 is 844827993949563.

It is a happy number.

365949399728448 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 4 + 9 + 3 + 99 + 72 + 8 + 448 = 666.

It is a super-2 number, since 2×365949399728448² (a number of 30 digits) contains 22 as substring.

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, 11370875365 + ... + 11370907547.

It is an arithmetic number, because the mean of its divisors is an integer number (1757466055800).

Almost surely, 2^{365949399728448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365949399728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590508594748800).

365949399728448 is an abundant number, since it is smaller than the sum of its proper divisors (815067789769152).

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

365949399728448 is a wasteful number, since it uses less digits than its factorization.

365949399728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33317 (or 33295 counting only the distinct ones).

The product of its digits is 101583175680, while the sum is 90.

The spelling of 365949399728448 in words is "three hundred sixty-five trillion, nine hundred forty-nine billion, three hundred ninety-nine million, seven hundred twenty-eight thousand, four hundred forty-eight".