36190049136480 has 576 divisors, whose sum is σ = 132993920824128. Its totient is φ = 9286290800640.

The previous prime is 36190049136443. The next prime is 36190049136509. The reversal of 36190049136480 is 8463194009163.

36190049136480 is a `hidden beast` number, since 3 + 6 + 1 + 90 + 0 + 49 + 1 + 36 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 116212342 + ... + 116523338.

It is an arithmetic number, because the mean of its divisors is an integer number (230892223653).

Almost surely, 2^{36190049136480} is an apocalyptic number.

36190049136480 is a gapful number since it is divisible by the number (30) 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 36190049136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66496960412064).

36190049136480 is an abundant number, since it is smaller than the sum of its proper divisors (96803871687648).

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

36190049136480 is a wasteful number, since it uses less digits than its factorization.

36190049136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311141 (or 311121 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 36190049136480 in words is "thirty-six trillion, one hundred ninety billion, forty-nine million, one hundred thirty-six thousand, four hundred eighty".