1365691041792 has 1152 divisors, whose sum is σ = 5154878776320. Its totient is φ = 350912839680.

The previous prime is 1365691041791. The next prime is 1365691041797. The reversal of 1365691041792 is 2971401965631.

1365691041792 is a `hidden beast` number, since 1 + 3 + 6 + 56 + 91 + 0 + 417 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1365691041792² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1365691041791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6016259983 + ... + 6016260209.

It is an arithmetic number, because the mean of its divisors is an integer number (4474721160).

Almost surely, 2^{1365691041792} is an apocalyptic number.

1365691041792 is a gapful number since it is divisible by the number (12) 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 1365691041792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577439388160).

1365691041792 is an abundant number, since it is smaller than the sum of its proper divisors (3789187734528).

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

1365691041792 is a wasteful number, since it uses less digits than its factorization.

1365691041792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1365691041792 in words is "one trillion, three hundred sixty-five billion, six hundred ninety-one million, forty-one thousand, seven hundred ninety-two".