148691314556400 has 1920 divisors, whose sum is σ = 629390359296000. Its totient is φ = 29721091276800.

The previous prime is 148691314556387. The next prime is 148691314556537. The reversal of 148691314556400 is 4655413196841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14909381814 + ... + 14909391786.

It is an arithmetic number, because the mean of its divisors is an integer number (327807478800).

Almost surely, 2^{148691314556400} is an apocalyptic number.

148691314556400 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 148691314556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314695179648000).

148691314556400 is an abundant number, since it is smaller than the sum of its proper divisors (480699044739600).

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

148691314556400 is a wasteful number, since it uses less digits than its factorization.

148691314556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 148691314556400 in words is "one hundred forty-eight trillion, six hundred ninety-one billion, three hundred fourteen million, five hundred fifty-six thousand, four hundred".