36308420290848 has 384 divisors, whose sum is σ = 102663359124480. Its totient is φ = 11201441771520.

The previous prime is 36308420290819. The next prime is 36308420290873. The reversal of 36308420290848 is 84809202480363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18127018615 + ... + 18127020617.

It is an arithmetic number, because the mean of its divisors is an integer number (267352497720).

Almost surely, 2^{36308420290848} is an apocalyptic number.

36308420290848 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 36308420290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51331679562240).

36308420290848 is an abundant number, since it is smaller than the sum of its proper divisors (66354938833632).

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

36308420290848 is a wasteful number, since it uses less digits than its factorization.

36308420290848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 36308420290848 in words is "thirty-six trillion, three hundred eight billion, four hundred twenty million, two hundred ninety thousand, eight hundred forty-eight".