148957870430016 has 336 divisors, whose sum is σ = 447507821150208. Its totient is φ = 47323085414400.

The previous prime is 148957870429943. The next prime is 148957870430023. The reversal of 148957870430016 is 610034078759841.

148957870430016 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 578 + 7 + 0 + 43 + 0 + 0 + 16 = 666.

148957870430016 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600360001 + ... + 600608063.

It is an arithmetic number, because the mean of its divisors is an integer number (1331868515328).

Almost surely, 2^{148957870430016} is an apocalyptic number.

148957870430016 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 148957870430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223753910575104).

148957870430016 is an abundant number, since it is smaller than the sum of its proper divisors (298549950720192).

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

148957870430016 is a wasteful number, since it uses less digits than its factorization.

148957870430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248710 (or 248697 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 148957870430016 in words is "one hundred forty-eight trillion, nine hundred fifty-seven billion, eight hundred seventy million, four hundred thirty thousand, sixteen".