95148291487392 has 288 divisors, whose sum is σ = 317933537201280. Its totient is φ = 26610574325760.

The previous prime is 95148291487339. The next prime is 95148291487397. The reversal of 95148291487392 is 29378419284159.

It is a happy number.

95148291487392 is a `hidden beast` number, since 9 + 5 + 14 + 82 + 9 + 148 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 95148291487392.

It is not an unprimeable number, because it can be changed into a prime (95148291487397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257091534 + ... + 257461362.

It is an arithmetic number, because the mean of its divisors is an integer number (1103935893060).

Almost surely, 2^{95148291487392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95148291487392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158966768600640).

95148291487392 is an abundant number, since it is smaller than the sum of its proper divisors (222785245713888).

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

95148291487392 is a wasteful number, since it uses less digits than its factorization.

95148291487392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376116 (or 376105 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 95148291487392 in words is "ninety-five trillion, one hundred forty-eight billion, two hundred ninety-one million, four hundred eighty-seven thousand, three hundred ninety-two".