36890289124416 has 1344 divisors, whose sum is σ = 139167197245440. Its totient is φ = 9375876956160.

The previous prime is 36890289124391. The next prime is 36890289124441. The reversal of 36890289124416 is 61442198209863.

36890289124416 is a `hidden beast` number, since 3 + 6 + 8 + 90 + 2 + 8 + 9 + 124 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (36890289124391) and next prime (36890289124441).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6956491621 + ... + 6956496923.

It is an arithmetic number, because the mean of its divisors is an integer number (103547021760).

Almost surely, 2^{36890289124416} is an apocalyptic number.

36890289124416 is a gapful number since it is divisible by the number (36) 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 36890289124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69583598622720).

36890289124416 is an abundant number, since it is smaller than the sum of its proper divisors (102276908121024).

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

36890289124416 is a wasteful number, since it uses less digits than its factorization.

36890289124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 36890289124416 in words is "thirty-six trillion, eight hundred ninety billion, two hundred eighty-nine million, one hundred twenty-four thousand, four hundred sixteen".