1014516504540 has 216 divisors, whose sum is σ = 3905230138992. Its totient is φ = 210808604160.

The previous prime is 1014516504493. The next prime is 1014516504577. The reversal of 1014516504540 is 454056154101.

1014516504540 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 51 + 65 + 0 + 4 + 540 = 666.

It is a super-2 number, since 2×1014516504540² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1014516504495 and 1014516504504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5131369 + ... + 5325408.

It is an arithmetic number, because the mean of its divisors is an integer number (18079769162).

Almost surely, 2^{1014516504540} is an apocalyptic number.

1014516504540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014516504540 is an abundant number, since it is smaller than the sum of its proper divisors (2890713634452).

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

1014516504540 is a wasteful number, since it uses less digits than its factorization.

1014516504540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10456817 (or 10456805 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1014516504540 in words is "one trillion, fourteen billion, five hundred sixteen million, five hundred four thousand, five hundred forty".