10964929929408 has 672 divisors, whose sum is σ = 42507593318400. Its totient is φ = 2739641812992.

The previous prime is 10964929929407. The next prime is 10964929929571. The reversal of 10964929929408 is 80492992946901.

10964929929408 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 49 + 299 + 294 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10964929929407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20651841 + ... + 21176127.

It is an arithmetic number, because the mean of its divisors is an integer number (63255347200).

Almost surely, 2^{10964929929408} is an apocalyptic number.

10964929929408 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 10964929929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253796659200).

10964929929408 is an abundant number, since it is smaller than the sum of its proper divisors (31542663388992).

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

10964929929408 is a wasteful number, since it uses less digits than its factorization.

10964929929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524354 (or 524331 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 10964929929408 in words is "ten trillion, nine hundred sixty-four billion, nine hundred twenty-nine million, nine hundred twenty-nine thousand, four hundred eight".