136293401484864 has 336 divisors, whose sum is σ = 443107362297600. Its totient is φ = 39706514399232.

The previous prime is 136293401484847. The next prime is 136293401484871. The reversal of 136293401484864 is 468484104392631.

136293401484864 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 9 + 3 + 4 + 0 + 148 + 486 + 4 = 666.

It is a super-3 number, since 3×136293401484864³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249129577 + ... + 249676055.

It is an arithmetic number, because the mean of its divisors is an integer number (1318771911600).

Almost surely, 2^{136293401484864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136293401484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221553681148800).

136293401484864 is an abundant number, since it is smaller than the sum of its proper divisors (306813960812736).

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

136293401484864 is a wasteful number, since it uses less digits than its factorization.

136293401484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548282 (or 548269 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 136293401484864 in words is "one hundred thirty-six trillion, two hundred ninety-three billion, four hundred one million, four hundred eighty-four thousand, eight hundred sixty-four".