193455290096640 has 2112 divisors, whose sum is σ = 816819578265600. Its totient is φ = 43041167769600.

The previous prime is 193455290096599. The next prime is 193455290096641. The reversal of 193455290096640 is 46690092554391.

193455290096640 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 5 + 529 + 0 + 0 + 9 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193455290096641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46514854881 + ... + 46514859039.

Almost surely, 2^{193455290096640} is an apocalyptic number.

193455290096640 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 193455290096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408409789132800).

193455290096640 is an abundant number, since it is smaller than the sum of its proper divisors (623364288168960).

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

193455290096640 is a wasteful number, since it uses less digits than its factorization.

193455290096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 193455290096640 in words is "one hundred ninety-three trillion, four hundred fifty-five billion, two hundred ninety million, ninety-six thousand, six hundred forty".