108269146268640 has 1536 divisors, whose sum is σ = 475809742356480. Its totient is φ = 22422749184000.

The previous prime is 108269146268537. The next prime is 108269146268659. The reversal of 108269146268640 is 46862641962801.

108269146268640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 91 + 462 + 6 + 86 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3075723040 + ... + 3075758240.

It is an arithmetic number, because the mean of its divisors is an integer number (309771967680).

Almost surely, 2^{108269146268640} is an apocalyptic number.

108269146268640 is a gapful number since it is divisible by the number (10) 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 108269146268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237904871178240).

108269146268640 is an abundant number, since it is smaller than the sum of its proper divisors (367540596087840).

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

108269146268640 is a wasteful number, since it uses less digits than its factorization.

108269146268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35473 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 108269146268640 in words is "one hundred eight trillion, two hundred sixty-nine billion, one hundred forty-six million, two hundred sixty-eight thousand, six hundred forty".