2121345314550 has 288 divisors, whose sum is σ = 7297730129664. Its totient is φ = 428885280000.

The previous prime is 2121345314521. The next prime is 2121345314593. The reversal of 2121345314550 is 554135431212.

2121345314550 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 34 + 531 + 45 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 454725 + ... + 2109375.

It is an arithmetic number, because the mean of its divisors is an integer number (25339340728).

Almost surely, 2^{2121345314550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121345314550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648865064832).

2121345314550 is an abundant number, since it is smaller than the sum of its proper divisors (5176384815114).

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

2121345314550 is a wasteful number, since it uses less digits than its factorization.

2121345314550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654724 (or 1654716 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2121345314550 in words is "two trillion, one hundred twenty-one billion, three hundred forty-five million, three hundred fourteen thousand, five hundred fifty".