2145613421952 has 3072 divisors, whose sum is σ = 9404080128000. Its totient is φ = 471636172800.

The previous prime is 2145613421879. The next prime is 2145613421969. The reversal of 2145613421952 is 2591243165412.

2145613421952 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 613 + 4 + 21 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2145613421898 and 2145613421907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69213336177 + ... + 69213336207.

It is an arithmetic number, because the mean of its divisors is an integer number (3061224000).

Almost surely, 2^{2145613421952} is an apocalyptic number.

2145613421952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145613421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702040064000).

2145613421952 is an abundant number, since it is smaller than the sum of its proper divisors (7258466706048).

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

2145613421952 is a wasteful number, since it uses less digits than its factorization.

2145613421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 86 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 2145613421952 in words is "two trillion, one hundred forty-five billion, six hundred thirteen million, four hundred twenty-one thousand, nine hundred fifty-two".