145812296448 has 1440 divisors, whose sum is σ = 581706048000. Its totient is φ = 35993051136.

The previous prime is 145812296437. The next prime is 145812296527. The reversal of 145812296448 is 844692218541.

145812296448 is a `hidden beast` number, since 1 + 458 + 122 + 9 + 64 + 4 + 8 = 666.

It is a super-2 number, since 2×145812296448² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145812296394 and 145812296403.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1756774615 + ... + 1756774697.

Almost surely, 2^145812296448 is an apocalyptic number.

145812296448 is a gapful number since it is divisible by the number (18) 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 145812296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290853024000).

145812296448 is an abundant number, since it is smaller than the sum of its proper divisors (435893751552).

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

145812296448 is an equidigital number, since it uses as much as digits as its factorization.

145812296448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 145812296448 in words is "one hundred forty-five billion, eight hundred twelve million, two hundred ninety-six thousand, four hundred forty-eight".