101741369393664 has 3840 divisors, whose sum is σ = 433800501657600. Its totient is φ = 22844927508480.

The previous prime is 101741369393659. The next prime is 101741369393701. The reversal of 101741369393664 is 466393963147101.

101741369393664 is a `hidden beast` number, since 1 + 0 + 17 + 413 + 69 + 3 + 93 + 6 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 367297362294 + ... + 367297362570.

It is an arithmetic number, because the mean of its divisors is an integer number (112968880640).

Almost surely, 2^{101741369393664} is an apocalyptic number.

101741369393664 is a gapful number since it is divisible by the number (14) 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 101741369393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216900250828800).

101741369393664 is an abundant number, since it is smaller than the sum of its proper divisors (332059132263936).

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

101741369393664 is a wasteful number, since it uses less digits than its factorization.

101741369393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 101741369393664 in words is "one hundred one trillion, seven hundred forty-one billion, three hundred sixty-nine million, three hundred ninety-three thousand, six hundred sixty-four".