215448156709632 has 3456 divisors, whose sum is σ = 863189689958400. Its totient is φ = 51732172800000.

The previous prime is 215448156709603. The next prime is 215448156709717. The reversal of 215448156709632 is 236907651844512.

It is a happy number.

215448156709632 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 4 + 8 + 1 + 567 + 0 + 9 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a self number, because there is not a number n which added to its sum of digits gives 215448156709632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1426808984757 + ... + 1426808984907.

It is a 1-persistent number, because it is pandigital, but 2⋅215448156709632 = 430896313419264 is not.

Almost surely, 2^{215448156709632} is an apocalyptic number.

215448156709632 is a gapful number since it is divisible by the number (22) 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 215448156709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431594844979200).

215448156709632 is an abundant number, since it is smaller than the sum of its proper divisors (647741533248768).

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

215448156709632 is a wasteful number, since it uses less digits than its factorization.

215448156709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 215448156709632 in words is "two hundred fifteen trillion, four hundred forty-eight billion, one hundred fifty-six million, seven hundred nine thousand, six hundred thirty-two".