2145086811360 has 96 divisors (see below), whose sum is σ = 7507803854880. Its totient is φ = 572023148544.

The previous prime is 2145086811347. The next prime is 2145086811367. The reversal of 2145086811360 is 631186805412.

2145086811360 is a `hidden beast` number, since 2 + 1 + 4 + 508 + 6 + 8 + 1 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2145086811360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145086811367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248269617 + ... + 248278256.

It is an arithmetic number, because the mean of its divisors is an integer number (78206290155).

Almost surely, 2^{2145086811360} is an apocalyptic number.

2145086811360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145086811360 is an abundant number, since it is smaller than the sum of its proper divisors (5362717043520).

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

2145086811360 is a wasteful number, since it uses less digits than its factorization.

2145086811360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496547897 (or 496547883 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2145086811360 in words is "two trillion, one hundred forty-five billion, eighty-six million, eight hundred eleven thousand, three hundred sixty".