145523812073472 has 1760 divisors, whose sum is σ = 550742451316992. Its totient is φ = 37311454642176.

The previous prime is 145523812073443. The next prime is 145523812073537. The reversal of 145523812073472 is 274370218325541.

145523812073472 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 3 + 81 + 20 + 73 + 472 = 666.

It is a super-2 number, since 2×145523812073472² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 464932306788 + ... + 464932307100.

Almost surely, 2^{145523812073472} is an apocalyptic number.

145523812073472 is a gapful number since it is divisible by the number (12) 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 145523812073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275371225658496).

145523812073472 is an abundant number, since it is smaller than the sum of its proper divisors (405218639243520).

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

145523812073472 is an frugal number, since it uses more digits than its factorization.

145523812073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 145523812073472 in words is "one hundred forty-five trillion, five hundred twenty-three billion, eight hundred twelve million, seventy-three thousand, four hundred seventy-two".