2145087195552 has 288 divisors, whose sum is σ = 7078414936320. Its totient is φ = 603507179520.

The previous prime is 2145087195541. The next prime is 2145087195583. The reversal of 2145087195552 is 2555917805412.

It is a happy number.

2145087195552 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 87 + 1 + 9 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2145087195552² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122086224 + ... + 122103792.

It is an arithmetic number, because the mean of its divisors is an integer number (24577829640).

Almost surely, 2^{2145087195552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145087195552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539207468160).

2145087195552 is an abundant number, since it is smaller than the sum of its proper divisors (4933327740768).

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

2145087195552 is a wasteful number, since it uses less digits than its factorization.

2145087195552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18516 (or 18505 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 2145087195552 in words is "two trillion, one hundred forty-five billion, eighty-seven million, one hundred ninety-five thousand, five hundred fifty-two".