93141051552 has 384 divisors, whose sum is σ = 291711974400. Its totient is φ = 28827767808.

The previous prime is 93141051539. The next prime is 93141051599. The reversal of 93141051552 is 25515014139.

It is a happy number.

93141051552 is a `hidden beast` number, since 93 + 1 + 4 + 1 + 0 + 515 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268417843 + ... + 268418189.

It is an arithmetic number, because the mean of its divisors is an integer number (759666600).

Almost surely, 2^93141051552 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 93141051552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145855987200).

93141051552 is an abundant number, since it is smaller than the sum of its proper divisors (198570922848).

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

93141051552 is a wasteful number, since it uses less digits than its factorization.

93141051552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 93141051552 in words is "ninety-three billion, one hundred forty-one million, fifty-one thousand, five hundred fifty-two".