145456848230400 has 3456 divisors, whose sum is σ = 634201198525440. Its totient is φ = 32357555896320.

The previous prime is 145456848230389. The next prime is 145456848230411. The reversal of 145456848230400 is 4032848654541.

145456848230400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 56 + 84 + 82 + 30 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (145456848230389) and next prime (145456848230411).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×145456848230400² (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 287 ways as a sum of consecutive naturals, for example, 870999091117 + ... + 870999091283.

It is an arithmetic number, because the mean of its divisors is an integer number (183507291240).

Almost surely, 2^{145456848230400} is an apocalyptic number.

145456848230400 is a gapful number since it is divisible by the number (10) 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 145456848230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317100599262720).

145456848230400 is an abundant number, since it is smaller than the sum of its proper divisors (488744350295040).

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

145456848230400 is a wasteful number, since it uses less digits than its factorization.

145456848230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 145456848230400 in words is "one hundred forty-five trillion, four hundred fifty-six billion, eight hundred forty-eight million, two hundred thirty thousand, four hundred".