2145264346512 has 160 divisors (see below), whose sum is σ = 7038219048960. Its totient is φ = 612859167360.

The previous prime is 2145264346441. The next prime is 2145264346513. The reversal of 2145264346512 is 2156434625412.

It is a happy number.

2145264346512 is a `hidden beast` number, since 2 + 1 + 4 + 52 + 6 + 43 + 46 + 512 = 666.

It is a super-2 number, since 2×2145264346512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145264346513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28300053 + ... + 28375755.

It is an arithmetic number, because the mean of its divisors is an integer number (43988869056).

Almost surely, 2^{2145264346512} 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 2145264346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519109524480).

2145264346512 is an abundant number, since it is smaller than the sum of its proper divisors (4892954702448).

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

2145264346512 is a wasteful number, since it uses less digits than its factorization.

2145264346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85098 (or 85086 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 2145264346512 in words is "two trillion, one hundred forty-five billion, two hundred sixty-four million, three hundred forty-six thousand, five hundred twelve".