32906101395456 has 585 divisors, whose sum is σ = 102997661506509. Its totient is φ = 10467569958912.

The previous prime is 32906101395449. The next prime is 32906101395457. The reversal of 32906101395456 is 65459310160923.

The square root of 32906101395456 is 5736384.

It is a perfect power (a square), and thus also a powerful number.

32906101395456 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 61 + 0 + 1 + 39 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3690087321600 + 29216014073856 = 1920960^2 + 5405184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32906101395457) 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 44 ways as a sum of consecutive naturals, for example, 75995615016 + ... + 75995615448.

Almost surely, 2^{32906101395456} is an apocalyptic number.

32906101395456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32906101395456 is the 5736384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32906101395456

32906101395456 is an abundant number, since it is smaller than the sum of its proper divisors (70091560111053).

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

32906101395456 is an frugal number, since it uses more digits than its factorization.

32906101395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 32906101395456 in words is "thirty-two trillion, nine hundred six billion, one hundred one million, three hundred ninety-five thousand, four hundred fifty-six".