10494749631744 has 1728 divisors, whose sum is σ = 40259513548800. Its totient is φ = 2556384509952.

The previous prime is 10494749631697. The next prime is 10494749631799. The reversal of 10494749631744 is 44713694749401.

10494749631744 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 47 + 496 + 31 + 74 + 4 = 666.

10494749631744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10494749631744² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19186013679 + ... + 19186014225.

It is an arithmetic number, because the mean of its divisors is an integer number (23298329600).

Almost surely, 2^{10494749631744} is an apocalyptic number.

10494749631744 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 10494749631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129756774400).

10494749631744 is an abundant number, since it is smaller than the sum of its proper divisors (29764763917056).

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

10494749631744 is a wasteful number, since it uses less digits than its factorization.

10494749631744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 10494749631744 in words is "ten trillion, four hundred ninety-four billion, seven hundred forty-nine million, six hundred thirty-one thousand, seven hundred forty-four".