141015951648 has 1152 divisors, whose sum is σ = 528533913600. Its totient is φ = 36212520960.

The previous prime is 141015951631. The next prime is 141015951653. The reversal of 141015951648 is 846159510141.

141015951648 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 595 + 16 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1110361761 + ... + 1110361887.

It is an arithmetic number, because the mean of its divisors is an integer number (458796800).

Almost surely, 2^141015951648 is an apocalyptic number.

141015951648 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 141015951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264266956800).

141015951648 is an abundant number, since it is smaller than the sum of its proper divisors (387517961952).

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

141015951648 is a wasteful number, since it uses less digits than its factorization.

141015951648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 141015951648 in words is "one hundred forty-one billion, fifteen million, nine hundred fifty-one thousand, six hundred forty-eight".