1314561615540 has 96 divisors (see below), whose sum is σ = 3772697814144. Its totient is φ = 341898585600.

The previous prime is 1314561615539. The next prime is 1314561615547. The reversal of 1314561615540 is 455161654131.

It is a happy number.

It is a super-2 number, since 2×1314561615540² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314561615492 and 1314561615501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314561615547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212819 + ... + 2024858.

It is an arithmetic number, because the mean of its divisors is an integer number (39298935564).

Almost surely, 2^{1314561615540} is an apocalyptic number.

1314561615540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314561615540 is an abundant number, since it is smaller than the sum of its proper divisors (2458136198604).

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

1314561615540 is a wasteful number, since it uses less digits than its factorization.

1314561615540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237857 (or 3237855 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 1314561615540 in words is "one trillion, three hundred fourteen billion, five hundred sixty-one million, six hundred fifteen thousand, five hundred forty".