148040968416 has 96 divisors (see below), whose sum is σ = 424166803200. Its totient is φ = 44836423680.

The previous prime is 148040968351. The next prime is 148040968429. The reversal of 148040968416 is 614869040841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×148040968416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946920 + ... + 2021528.

It is an arithmetic number, because the mean of its divisors is an integer number (4418404200).

Almost surely, 2^148040968416 is an apocalyptic number.

148040968416 is a gapful number since it is divisible by the number (16) 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 148040968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212083401600).

148040968416 is an abundant number, since it is smaller than the sum of its proper divisors (276125834784).

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

148040968416 is a wasteful number, since it uses less digits than its factorization.

148040968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76512 (or 76504 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 148040968416 in words is "one hundred forty-eight billion, forty million, nine hundred sixty-eight thousand, four hundred sixteen".