146251963772096 has 224 divisors, whose sum is σ = 357594091008000. Its totient is φ = 57792881922048.

The previous prime is 146251963771999. The next prime is 146251963772099. The reversal of 146251963772096 is 690277369152641.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (146251963772099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27704479985 + ... + 27704485263.

It is an arithmetic number, because the mean of its divisors is an integer number (1596402192000).

Almost surely, 2^{146251963772096} is an apocalyptic number.

146251963772096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146251963772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178797045504000).

146251963772096 is an abundant number, since it is smaller than the sum of its proper divisors (211342127235904).

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

146251963772096 is a wasteful number, since it uses less digits than its factorization.

146251963772096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9759 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 68.

The spelling of 146251963772096 in words is "one hundred forty-six trillion, two hundred fifty-one billion, nine hundred sixty-three million, seven hundred seventy-two thousand, ninety-six".