36393090048 has 440 divisors, whose sum is σ = 130778736000. Its totient is φ = 9847775232.

The previous prime is 36393090037. The next prime is 36393090053. The reversal of 36393090048 is 84009039363.

36393090048 is a `hidden beast` number, since 3 + 639 + 3 + 0 + 9 + 0 + 0 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36393089985 and 36393090012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11029903 + ... + 11033201.

It is an arithmetic number, because the mean of its divisors is an integer number (297224400).

Almost surely, 2^36393090048 is an apocalyptic number.

36393090048 is a gapful number since it is divisible by the number (38) 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 36393090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65389368000).

36393090048 is an abundant number, since it is smaller than the sum of its proper divisors (94385645952).

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

36393090048 is a wasteful number, since it uses less digits than its factorization.

36393090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 36393090048 in words is "thirty-six billion, three hundred ninety-three million, ninety thousand, forty-eight".