1362114376464 has 20 divisors (see below), whose sum is σ = 3518795472656. Its totient is φ = 454038125472.

The previous prime is 1362114376459. The next prime is 1362114376487. The reversal of 1362114376464 is 4646734112631.

It is a happy number.

It is a super-3 number, since 3×1362114376464³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 28377382843 = 1362114376464 / (1 + 3 + 6 + 2 + 1 + 1 + 4 + 3 + 7 + 6 + 4 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14188691374 + ... + 14188691469.

Almost surely, 2^{1362114376464} is an apocalyptic number.

It is an amenable number.

1362114376464 is an abundant number, since it is smaller than the sum of its proper divisors (2156681096192).

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

1362114376464 is a wasteful number, since it uses less digits than its factorization.

1362114376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28377382854 (or 28377382848 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 1362114376464 in words is "one trillion, three hundred sixty-two billion, one hundred fourteen million, three hundred seventy-six thousand, four hundred sixty-four".