1493797284100 has 243 divisors, whose sum is σ = 3665563428639. Its totient is φ = 527994720000.

The previous prime is 1493797284073. The next prime is 1493797284113. The reversal of 1493797284100 is 14827973941.

The square root of 1493797284100 is 1222210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 628763358916 + 865033925184 = 792946^2 + 930072^2 .

It is a super-2 number, since 2×1493797284100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5512166965 + ... + 5512167235.

Almost surely, 2^{1493797284100} is an apocalyptic number.

1493797284100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1493797284100 is the 1222210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493797284100

1493797284100 is an abundant number, since it is smaller than the sum of its proper divisors (2171766144539).

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

1493797284100 is a wasteful number, since it uses less digits than its factorization.

1493797284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 1493797284100 in words is "one trillion, four hundred ninety-three billion, seven hundred ninety-seven million, two hundred eighty-four thousand, one hundred".