145012246624 has 192 divisors, whose sum is σ = 351383380992. Its totient is φ = 57561292800.

The previous prime is 145012246549. The next prime is 145012246637. The reversal of 145012246624 is 426642210541.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28936279 + ... + 28941289.

It is an arithmetic number, because the mean of its divisors is an integer number (1830121776).

Almost surely, 2^145012246624 is an apocalyptic number.

145012246624 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 145012246624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175691690496).

145012246624 is an abundant number, since it is smaller than the sum of its proper divisors (206371134368).

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

145012246624 is a wasteful number, since it uses less digits than its factorization.

145012246624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 145012246624 in words is "one hundred forty-five billion, twelve million, two hundred forty-six thousand, six hundred twenty-four".