149711241423744 has 2048 divisors, whose sum is σ = 624571173273600. Its totient is φ = 34028273664000.

The previous prime is 149711241423743. The next prime is 149711241423763. The reversal of 149711241423744 is 447324142117941.

It is a happy number.

149711241423744 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 1 + 124 + 142 + 374 + 4 = 666.

It is a super-3 number, since 3×149711241423744³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149711241423743) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8991117819 + ... + 8991134469.

It is an arithmetic number, because the mean of its divisors is an integer number (304966393200).

Almost surely, 2^{149711241423744} is an apocalyptic number.

149711241423744 is a gapful number since it is divisible by the number (14) 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 149711241423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312285586636800).

149711241423744 is an abundant number, since it is smaller than the sum of its proper divisors (474859931849856).

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

149711241423744 is a wasteful number, since it uses less digits than its factorization.

149711241423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16841 (or 16823 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 149711241423744 in words is "one hundred forty-nine trillion, seven hundred eleven billion, two hundred forty-one million, four hundred twenty-three thousand, seven hundred forty-four".