152253048395448 has 512 divisors, whose sum is σ = 581049236275200. Its totient is φ = 35655289689600.

The previous prime is 152253048395417. The next prime is 152253048395471. The reversal of 152253048395448 is 844593840352251.

152253048395448 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 3 + 0 + 4 + 83 + 9 + 544 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 1109253 + ... + 17485323.

It is an arithmetic number, because the mean of its divisors is an integer number (1134861789600).

Almost surely, 2^{152253048395448} is an apocalyptic number.

152253048395448 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 152253048395448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290524618137600).

152253048395448 is an abundant number, since it is smaller than the sum of its proper divisors (428796187879752).

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

152253048395448 is a wasteful number, since it uses less digits than its factorization.

152253048395448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16376160 (or 16376150 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 152253048395448 in words is "one hundred fifty-two trillion, two hundred fifty-three billion, forty-eight million, three hundred ninety-five thousand, four hundred forty-eight".