36419906226816 has 1536 divisors, whose sum is σ = 133916606208000. Its totient is φ = 9819706982400.

The previous prime is 36419906226811. The next prime is 36419906226839. The reversal of 36419906226816 is 61862260991463.

36419906226816 is a `hidden beast` number, since 3 + 6 + 419 + 90 + 62 + 2 + 68 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36419906226811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17434133100 + ... + 17434135188.

It is an arithmetic number, because the mean of its divisors is an integer number (87185290500).

Almost surely, 2^{36419906226816} is an apocalyptic number.

36419906226816 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 36419906226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66958303104000).

36419906226816 is an abundant number, since it is smaller than the sum of its proper divisors (97496699981184).

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

36419906226816 is an equidigital number, since it uses as much as digits as its factorization.

36419906226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 36419906226816 in words is "thirty-six trillion, four hundred nineteen billion, nine hundred six million, two hundred twenty-six thousand, eight hundred sixteen".