149901393778848 has 288 divisors, whose sum is σ = 457677785073600. Its totient is φ = 46396835831808.

The previous prime is 149901393778841. The next prime is 149901393778883. The reversal of 149901393778848 is 848877393109941.

149901393778848 is a `hidden beast` number, since 1 + 49 + 9 + 0 + 1 + 393 + 77 + 88 + 48 = 666.

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

It is a super-3 number, since 3×149901393778848³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (149901393778841) 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, 108110890 + ... + 109488662.

It is an arithmetic number, because the mean of its divisors is an integer number (1589158975950).

Almost surely, 2^{149901393778848} is an apocalyptic number.

149901393778848 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 149901393778848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228838892536800).

149901393778848 is an abundant number, since it is smaller than the sum of its proper divisors (307776391294752).

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

149901393778848 is a wasteful number, since it uses less digits than its factorization.

149901393778848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378204 (or 1378193 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 149901393778848 in words is "one hundred forty-nine trillion, nine hundred one billion, three hundred ninety-three million, seven hundred seventy-eight thousand, eight hundred forty-eight".