36049144744704 has 1152 divisors, whose sum is σ = 127015261470720. Its totient is φ = 8812235980800.

The previous prime is 36049144744693. The next prime is 36049144744733. The reversal of 36049144744704 is 40744744194063.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12916209549 + ... + 12916212339.

It is an arithmetic number, because the mean of its divisors is an integer number (110256303360).

Almost surely, 2^{36049144744704} 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 36049144744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63507630735360).

36049144744704 is an abundant number, since it is smaller than the sum of its proper divisors (90966116726016).

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

36049144744704 is a wasteful number, since it uses less digits than its factorization.

36049144744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 36049144744704 in words is "thirty-six trillion, forty-nine billion, one hundred forty-four million, seven hundred forty-four thousand, seven hundred four".