146351030052864 has 1536 divisors, whose sum is σ = 541755841536000. Its totient is φ = 34029324730368.

The previous prime is 146351030052859. The next prime is 146351030052889. The reversal of 146351030052864 is 468250030153641.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9040144482 + ... + 9040160670.

It is an arithmetic number, because the mean of its divisors is an integer number (352705626000).

Almost surely, 2^{146351030052864} is an apocalyptic number.

146351030052864 is a gapful number since it is divisible by the number (14) 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 146351030052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270877920768000).

146351030052864 is an abundant number, since it is smaller than the sum of its proper divisors (395404811483136).

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

146351030052864 is a wasteful number, since it uses less digits than its factorization.

146351030052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 146351030052864 in words is "one hundred forty-six trillion, three hundred fifty-one billion, thirty million, fifty-two thousand, eight hundred sixty-four".