2151145316430 has 192 divisors, whose sum is σ = 6488560728000. Its totient is φ = 488669736960.

The previous prime is 2151145316429. The next prime is 2151145316501. The reversal of 2151145316430 is 346135411512.

2151145316430 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 1 + 4 + 5 + 3 + 1 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3574996 + ... + 4133144.

It is an arithmetic number, because the mean of its divisors is an integer number (33794587125).

Almost surely, 2^{2151145316430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151145316430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244280364000).

2151145316430 is an abundant number, since it is smaller than the sum of its proper divisors (4337415411570).

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

2151145316430 is a wasteful number, since it uses less digits than its factorization.

2151145316430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558419 (or 558416 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2151145316430 in words is "two trillion, one hundred fifty-one billion, one hundred forty-five million, three hundred sixteen thousand, four hundred thirty".