201513963456 has 448 divisors, whose sum is σ = 674285875200. Its totient is φ = 58545856512.

The previous prime is 201513963451. The next prime is 201513963461. The reversal of 201513963456 is 654369315102.

201513963456 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 1 + 3 + 9 + 634 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (201513963451) and next prime (201513963461).

It is a super-2 number, since 2×201513963456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201513963451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40814620 + ... + 40819556.

It is an arithmetic number, because the mean of its divisors is an integer number (1505102400).

Almost surely, 2^201513963456 is an apocalyptic number.

201513963456 is a gapful number since it is divisible by the number (26) 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 201513963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337142937600).

201513963456 is an abundant number, since it is smaller than the sum of its proper divisors (472771911744).

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

201513963456 is a wasteful number, since it uses less digits than its factorization.

201513963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 201513963456 in words is "two hundred one billion, five hundred thirteen million, nine hundred sixty-three thousand, four hundred fifty-six".