153838971468 has 576 divisors, whose sum is σ = 524697600000. Its totient is φ = 38058418944.

The previous prime is 153838971463. The next prime is 153838971469. The reversal of 153838971468 is 864179838351.

153838971468 is a `hidden beast` number, since 1 + 5 + 3 + 83 + 8 + 97 + 1 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (153838971463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308294283 + ... + 308294781.

Almost surely, 2^153838971468 is an apocalyptic number.

153838971468 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 153838971468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262348800000).

153838971468 is an abundant number, since it is smaller than the sum of its proper divisors (370858628532).

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

153838971468 is a wasteful number, since it uses less digits than its factorization.

153838971468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 153838971468 in words is "one hundred fifty-three billion, eight hundred thirty-eight million, nine hundred seventy-one thousand, four hundred sixty-eight".