96134205204480 has 192 divisors, whose sum is σ = 309799287645120. Its totient is φ = 25448664399872.

The previous prime is 96134205204449. The next prime is 96134205204493. The reversal of 96134205204480 is 8440250243169.

96134205204480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×96134205204480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212414 + ... + 15629693.

It is an arithmetic number, because the mean of its divisors is an integer number (1613537956485).

Almost surely, 2^{96134205204480} is an apocalyptic number.

It is an amenable number.

96134205204480 is an abundant number, since it is smaller than the sum of its proper divisors (213665082440640).

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

96134205204480 is a wasteful number, since it uses less digits than its factorization.

96134205204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22842274 (or 22842254 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 96134205204480 in words is "ninety-six trillion, one hundred thirty-four billion, two hundred five million, two hundred four thousand, four hundred eighty".