96146402541952 has 384 divisors, whose sum is σ = 233462436986880. Its totient is φ = 39277782835200.

The previous prime is 96146402541877. The next prime is 96146402542009. The reversal of 96146402541952 is 25914520464169.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11738050177 + ... + 11738058367.

It is an arithmetic number, because the mean of its divisors is an integer number (607975096320).

Almost surely, 2^{96146402541952} 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 96146402541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116731218493440).

96146402541952 is an abundant number, since it is smaller than the sum of its proper divisors (137316034444928).

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

96146402541952 is a wasteful number, since it uses less digits than its factorization.

96146402541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 58.

The spelling of 96146402541952 in words is "ninety-six trillion, one hundred forty-six billion, four hundred two million, five hundred forty-one thousand, nine hundred fifty-two".