1472126769036 has 336 divisors, whose sum is σ = 4837425911808. Its totient is φ = 380642976000.

The previous prime is 1472126768989. The next prime is 1472126769037. The reversal of 1472126769036 is 6309676212741.

1472126769036 is a `hidden beast` number, since 1 + 472 + 12 + 6 + 76 + 90 + 3 + 6 = 666.

It is a super-2 number, since 2×1472126769036² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (1472126769037) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 50055936 + ... + 50085336.

It is an arithmetic number, because the mean of its divisors is an integer number (14397100928).

Almost surely, 2^{1472126769036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472126769036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418712955904).

1472126769036 is an abundant number, since it is smaller than the sum of its proper divisors (3365299142772).

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

1472126769036 is a wasteful number, since it uses less digits than its factorization.

1472126769036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29664 (or 29647 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1472126769036 in words is "one trillion, four hundred seventy-two billion, one hundred twenty-six million, seven hundred sixty-nine thousand, thirty-six".