145463100048 has 640 divisors, whose sum is σ = 518538240000. Its totient is φ = 38101155840.

The previous prime is 145463100037. The next prime is 145463100109. The reversal of 145463100048 is 840001364541.

145463100048 is a `hidden beast` number, since 1 + 4 + 546 + 3 + 100 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145463099985 and 145463100021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 603581208 + ... + 603581448.

It is an arithmetic number, because the mean of its divisors is an integer number (810216000).

Almost surely, 2^145463100048 is an apocalyptic number.

145463100048 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 145463100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120000).

145463100048 is an abundant number, since it is smaller than the sum of its proper divisors (373075139952).

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

145463100048 is a wasteful number, since it uses less digits than its factorization.

145463100048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 145463100048 its reverse (840001364541), we get a palindrome (985464464589).

The spelling of 145463100048 in words is "one hundred forty-five billion, four hundred sixty-three million, one hundred thousand, forty-eight".