147103945941888 has 960 divisors, whose sum is σ = 485654532549120. Its totient is φ = 44166107381760.

The previous prime is 147103945941881. The next prime is 147103945941899. The reversal of 147103945941888 is 888149549301741.

147103945941888 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 0 + 394 + 59 + 4 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147103945941881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13574226006 + ... + 13574236842.

It is an arithmetic number, because the mean of its divisors is an integer number (505890138072).

Almost surely, 2^{147103945941888} is an apocalyptic number.

147103945941888 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 147103945941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242827266274560).

147103945941888 is an abundant number, since it is smaller than the sum of its proper divisors (338550586607232).

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

147103945941888 is a wasteful number, since it uses less digits than its factorization.

147103945941888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 147103945941888 in words is "one hundred forty-seven trillion, one hundred three billion, nine hundred forty-five million, nine hundred forty-one thousand, eight hundred eighty-eight".