1102256045415 has 72 divisors (see below), whose sum is σ = 2222729363088. Its totient is φ = 503838316800.

The previous prime is 1102256045413. The next prime is 1102256045441. The reversal of 1102256045415 is 5145406522011.

1102256045415 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 5 + 604 + 5 + 41 + 5 = 666.

It is not a de Polignac number, because 1102256045415 - 2¹ = 1102256045413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1102256045415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102256045413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30770515 + ... + 30806315.

It is an arithmetic number, because the mean of its divisors is an integer number (30871241154).

Almost surely, 2^{1102256045415} is an apocalyptic number.

1102256045415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1102256045415 is an abundant number, since it is smaller than the sum of its proper divisors (1120473317673).

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

1102256045415 is a wasteful number, since it uses less digits than its factorization.

1102256045415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49789 (or 49779 counting only the distinct ones).

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

The spelling of 1102256045415 in words is "one trillion, one hundred two billion, two hundred fifty-six million, forty-five thousand, four hundred fifteen".