1214919790756 has 81 divisors (see below), whose sum is σ = 2496407052321. Its totient is φ = 515845512000.

The previous prime is 1214919790727. The next prime is 1214919790759. The reversal of 1214919790756 is 6570979194121.

The square root of 1214919790756 is 1102234.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1021178965156 + 193740825600 = 1010534^2 + 440160^2 .

It is a super-3 number, since 3×1214919790756³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1214919790694 and 1214919790703.

It is not an unprimeable number, because it can be changed into a prime (1214919790759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2021496856 + ... + 2021497456.

Almost surely, 2^{1214919790756} is an apocalyptic number.

1214919790756 is the 1102234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214919790756

1214919790756 is an abundant number, since it is smaller than the sum of its proper divisors (1281487261565).

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

1214919790756 is an frugal number, since it uses more digits than its factorization.

1214919790756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 61.

The spelling of 1214919790756 in words is "one trillion, two hundred fourteen billion, nine hundred nineteen million, seven hundred ninety thousand, seven hundred fifty-six".