36345147277824 has 1920 divisors, whose sum is σ = 147246909308928. Its totient is φ = 8336643194880.

The previous prime is 36345147277799. The next prime is 36345147277853. The reversal of 36345147277824 is 42877274154363.

36345147277824 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 514 + 7 + 27 + 78 + 24 = 666.

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, 7352849497 + ... + 7352854439.

Almost surely, 2^{36345147277824} is an apocalyptic number.

36345147277824 is a gapful number since it is divisible by the number (34) 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 36345147277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73623454654464).

36345147277824 is an abundant number, since it is smaller than the sum of its proper divisors (110901762031104).

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

36345147277824 is a wasteful number, since it uses less digits than its factorization.

36345147277824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5059 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 36345147277824 in words is "thirty-six trillion, three hundred forty-five billion, one hundred forty-seven million, two hundred seventy-seven thousand, eight hundred twenty-four".